The Test pace attack - hampered by the untimely retirement of Mohammad Amir and Wahab Riaz earlier this year - includes 16-year-old Shah and 19-year-old Musa Khan who have played just five and seven first-class matches respectively.
Even Bancroft, speaking before the 14-man party was announced, suggested a position in the squad would be "probably highly unlikely, I would have thought".
There had been a growing expectation Pucovski would be named for the Test squad after being moved down the order for Australia A's second innings, having earlier had a lengthy sideline conversation with Langer. Australia A were reeling at 57 for 9 before Bancroft helped them post a respectable 122. On Wednesday, the young pacer bowled an electrifying spell of hostile fast bowling where he roughed up the top order of Australia "A" side - which wasn't too different from the top order of the main team.
Neither Khawaja nor Harris have made the cut, while Pucovski may well have been selected only to withdraw from contention for mental health reasons.
However, Cricket Australia advised on Thursday morning - a few hours before the expected release of the squad - that he had asked not to be considered for selection "due to matters pertaining to mental wellbeing". "Big call to put Bancroft in".
Burns was unlucky to be overlooked for the Ashes having scored a century in the last Test he played against Sri Lanka in February.
Burns being there now, if they want to go around the wicket to Warner, they'll have to go over the wicket to Burns.
However, as many fans online have pointed out, Harris' dominant form seems to come mainly in Victoria and he tends to struggle in other states.
David Warner, Joe Burns, Marnus Labuschagne, Steven Smith, Travis Head, Matthew Wade, Cameron Bancroft, Tim Paine (capt & wk), Pat Cummins, Mitchell Starc, Nathan Lyon, Josh Hazlewood, James Pattinson, Michael Neser. "Not to say you give up, but just to gain more clarity". He appears to have paid the price, though, for a poor Ashes series. Both have been overlooked. Apart from him, Glenn Maxwell and Nic Maddinson have also taken a break from the game to deal with mental health issues.